Question 1208742
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The x-intercept <u>always</u> occurs when y = 0.
This is where the curve either touches the x axis, or crosses over the x axis.


-6x+9y = -18
-6x+9*0 = -18
-6x = -18
x = -18/(-6)
x = 3
The x-intercept is located at <font color=red>(3,0)</font>


Below is a graph to verify the answer.
Note that -6x+9y = -18 solves to y = (2/3)x-2
{{{
drawing(500,500,-7,7,-7,7,
graph(500,500,-7,7,-7,7,-100,(-18+6x)/9),

line(3,-2,3,-0.5),
line(3,-0.5,2.7,-1.0196),
line(3,-0.5,3.3,-1.0196),

circle(3,0,0.08),circle(3,0,0.1),circle(3,0,0.12),circle(3,0,0.14),

locate(2,-2,matrix(1,2,"x-intercept","(3,0)"))
)
}}}
<a href="https://www.geogebra.org/calculator">GeoGebra</a> and <a href="https://www.desmos.com/calculator">Desmos</a> are two of many options if you need a graphing calculator. 
Or you can go old-school with something like a TI83.


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Answer: <font color=red>(3,0)</font>
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